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Trent Alexander-Arnold drilled in an 80th-minute equaliser with his right foot to deny City a 24th successive home win in all competitions.
City thoroughly dominated shell-shocked United in the second half.
In all, referee Anthony Taylor doled out 11 yellow cards along with Rodri's red, with seven of the yellows coming in a bad-tempered second half as Forest tried to leverage their extra man, but to no avail.
Manchester United tasted a 1-3 defeat at Old Trafford while City won by the same margin against the Hammers.
Chelsea lost at home to Nottingham Forest in the Premier League.
City's striker and Spain's World Cup winner won the prizes at a ceremony in Monaco.
Haaland, who bagged a Premier League season-record 36 goals and a total of 52 in all competitions for treble winners City last season, slotted his side in front after four minutes.
City were crowned European champions for the first time and they also secured the treble of Premier League, FA Cup and Champions League, with Guardiola becoming the first men's manager in history to achieve the feat on more than one occasion.
City players have now won the award for four seasons running.
It took Haaland only three minutes to score his record-equalling 34th Premier League goal of an extraordinary debut season in England.